SOLUTION: Determine without graphing if th quadratic fuction has a max value or min value then find the valueF(x)= -3x^2 -3x stuck on this one

Algebra ->  Test -> SOLUTION: Determine without graphing if th quadratic fuction has a max value or min value then find the valueF(x)= -3x^2 -3x stuck on this one       Log On


   

Question 761859: Determine without graphing if th quadratic fuction has a max value or min value then find the valueF(x)= -3x^2 -3x stuck on this one
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The form of F is in f%28x%29=ax%5E2%2Bbx%2Bc, and in your case, c=0.
Your function as a graph has a maximum and opens downward, because your value for a is a%3C0, because a=-3.

Finding the roots is very easy, and can be used to find the maximum value for F.
Look for where -3%2A%28x%29%28x%2B1%29=0.
Roots are 0 and -1. Find then F%28-1%2F2%29 because this will be the maximum value for F.